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JEE PHYSICS MCQ: SYSTEM OF PARTICLES

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An astronaut is rotated in a horizontal circle at a radius of 5 m5 \mathrm{~m}. If the astronaut can withstand a maximum acceleration of 7 g7 \mathrm{~g}, then maximum numbers of permissible revolution per second is (1 g=10 m/s2)\left(1 \mathrm{~g}=10 \mathrm{~m} / \mathrm{s}^2\right).
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Correct option: A
142πrevs\frac{\sqrt{14}}{2 \pi} \frac{\mathrm{rev}}{\mathrm{s}}
Option A (142πrevs\frac{\sqrt{{14}}}{{2 \pi}} \frac{{\mathrm{{rev}}}}{{\mathrm{{s}}}}) is correct because it represents the maximum permissible revolutions per second calculated from the maximum allowable acceleration.

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